WATCH the ATP Tour LIVE on beIN SPORTS | available via Foxtel, Kayo Sports, Fetch TV & beIN SPORTS CONNECT
All four Frenchmen in action on Monday were knocked out in Lyon, including 2018 finalist Gilles Simon.
Aljaz Bedene knocked out the world number 68 in straight sets, two breaks of serve in each enough to secure a 6-2 6-3 triumph after one hour and 13 minutes on court.
Sebastian Korda overcame both Pierre-Hugues Herbert and the rain to progress to the second round, a 7-6 (7-5) 6-4 triumph wrapped up quickly following a delay.
Having been 5-4 ahead in the second set when play was halted, Korda clinched victory on his first match point upon the resumption, in the process snapping a run of four successive defeats on the ATP Tour.
Cameron Norrie will take on top seed Dominic Thiem next after his 7-5 6-3 win against Corentin Moutet, while Ugo Humbert let slip a one-set lead as he was beaten by Yoshihito Nishioka.
Meanwhile, at the Geneva Open, there was a maiden victory for French teenager Arthur Cazaux as he came out on top against compatriot Adrian Mannarino.
The 18-year-old held his nerve in a decider despite this being his first tour-level contest; Reilly Opelka or Pablo Cuevas will be next up in the event.
As for Federer, he will begin his campaign on Wednesday (AEST), the 39-year-old having played just two matches so far this year after undergoing two knee operations in 2020.
The Swiss superstar now knows he will be up against Pablo Andujar, who overcame Australia's Jordan Thompson in straight sets.
Tennys Sandgren saw off Salvatore Caruso 6-3 6-4, while Dominik Koepfer came through a tight tussle with Benoit Paire that spanned two hours and 39 minutes.